Is it D?
Statement 1: (X) (x-4) +3 y > 0 . So if y>0 and x>4 then the eq is always >0
Statement 2: 3x-4 = -1 => x^2 > -1. X^2 will always be positive number so this is true as well.
data suff help needed
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Source: Beat The GMAT — Data Sufficiency |
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minkathebest
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GMATGuruNY
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I posted a solution to a very similar problem here:
https://www.beatthegmat.com/ds-t122391.html#502642
https://www.beatthegmat.com/ds-t122391.html#502642
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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Brent@GMATPrepNow
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Target question: Is x^2 > 4x - 3y?himu wrote:Is x^2 > 4x - 3y?
(1) y > 0 and x > 4
(2) 4x - 3y = -1
Statement 1: y > 0 and x > 4
To determine whether or not this statement is sufficient, it may be useful to first rephrase the target question.
First move all all terms to one side to get: Is x^2 - 4x + 3y > 0?
Factor the first 2 terms to get: Is x(x-4) + 3y > 0?
At this point, we'll use the given information.
If y>0, then 3y>0 (in other words 3y is positive)
If x>4, then (x-4)>0 and x>0 (in other words, x-4 and x are both positive)
If 3y, x-4 and x are all positive, then x(x-4) + 3y must be greater than 0
So, statement 1 is SUFFICIENT
Statement 2: 4x - 3y = -1
This one is a little more straightforward.
Here, we'll use the original target question: Is x^2 > 4x - 3y?
If 4x - 3y = -1, we'll replace take the target question and replace 4x - 3y with -1 to get: Is x^2 > -1
Since x^2 must be greater than or equal to zero, it must be the case that x^2 > -1
As such, statement 2 is SUFFICIENT, and the answer is D
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
